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OTC 12L 7s
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Omnitetrachordal MOS scale
12L+7s
19 tones (8+3+8)
Meantone
MOS;
P
<0 (oddly, neither this scale nor its
dual
can be tuned with a perfect 3/2!)
P = -4.8459060415
Q
= 20.7295302077 (4/3 = 5L+2.5s)
L = 63.16 to 100.00 cents (97.26 cents @ Q)
s = 0.00 to 63.16 cents (4.69 cents @ Q)
9/8 = 2L+s (189.47 to 200.00 cents)
4/3 = 5L+3s (500.00 to 505.26 cents)
generator = 4/3
notable EDOs: 31, 43, 50, 55
symmetric mode:
LsLLsLsLLsLLsLsLLsL
all modes:
LsL LsLsLLsL LsLsLLsL
LsLLsLsL LsLLsLsL LsL
sLL sLsLLsLL sLsLLsLL
sLLsLsLL sLLsLsLL sLL
LLs LsLLsLLs LsLLsLLs
LLsLsLLs LLsLsLLs LLs
LsL sLLsLLsL sLLsLLsL
LsLsLLsL LsLsLLsL LsL
sLsLLsLL sLsLLsLL sLL
LsLLsLLs LsL LsLLsLLs
LsLLsLLs LsLLsLLs LLs
sLLsLLsL sLL sLLsLLsL
sLLsLLsL sLLsLLsL LsL
LLsLLsLs LLs LLsLLsLs
LsLLsLsL LsL LsLLsLsL
sLLsLsLL sLL sLLsLsLL
LLsLsLLs LLs LLsLsLLs
LsLsLLsL LsL LsLsLLsL
sLsLLsLL sLL sLsLLsLL
LsL LsLLsLLs LsLLsLLs
LsLLsLLs LLs LsLLsLLs
sLL sLLsLLsL sLLsLLsL
sLLsLLsL LsL sLLsLLsL
LLs LLsLLsLs LLsLLsLs
LsL LsLLsLsL LsLLsLsL
LsLLsLLs LsLLsLLs LsL
sLL sLLsLsLL sLLsLsLL
sLLsLLsL sLLsLLsL sLL
LLs LLsLsLLs LLsLsLLs
LLsLLsLs LLsLLsLs LLs
See also
Omnitetrachordality
Gallery of omnitetrachordal scales
References
Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages
3685
and
10987
.
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12L+7s
19 tones (8+3+8)
Meantone MOS; P<0 (oddly, neither this scale nor its dual can be tuned with a perfect 3/2!)
P = -4.8459060415
Q = 20.7295302077 (4/3 = 5L+2.5s)
L = 63.16 to 100.00 cents (97.26 cents @ Q)
s = 0.00 to 63.16 cents (4.69 cents @ Q)
9/8 = 2L+s (189.47 to 200.00 cents)
4/3 = 5L+3s (500.00 to 505.26 cents)
generator = 4/3
notable EDOs: 31, 43, 50, 55
symmetric mode: LsLLsLsLLsLLsLsLLsL
all modes:
See also
References